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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 3 and fixed z > For fixed z and a=-11/3, b>=a > For fixed z and a=-11/3, b=11/3





http://functions.wolfram.com/07.23.03.5883.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 11/3, 11/2, -z] == (1/(426380045 z^(9/2))) (6561 (Sqrt[z/(1 + z)] (1782 + 4092 z + 154 z^2 + 704 z^3 + 58327 z^4 + 152915 z^5 + 162968 z^6 + 81328 z^7 + 15808 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + (-5346 - 10692 z + 2002 z^2 - 3696 z^3 + 21890 z^4 + 96989 z^5 + 128232 z^6 + 73424 z^7 + 15808 z^8) Sinh[ArcSinh[Sqrt[z]]/3]))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02